121505120 has 192 divisors, whose sum is σ = 344881152. Its totient is φ = 39936000.

The previous prime is 121505101. The next prime is 121505141. The reversal of 121505120 is 21505121.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 927455 + ... + 927585.

It is an arithmetic number, because the mean of its divisors is an integer number (1796256).

Almost surely, 2^121505120 is an apocalyptic number.

121505120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121505120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172440576).

121505120 is an abundant number, since it is smaller than the sum of its proper divisors (223376032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121505120 is a wasteful number, since it uses less digits than its factorization.

121505120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

The square root of 121505120 is about 11022.9360879940. The cubic root of 121505120 is about 495.2960443836.

Subtracting from 121505120 its reverse (21505121), we obtain a palindrome (99999999).

The spelling of 121505120 in words is "one hundred twenty-one million, five hundred five thousand, one hundred twenty".